The influences of temperature on the effective mass of the weak-coupling polaron in an asymmetric parabolic quantum rod are studied based on Tokuda-Lee-Low-Pines variational method. The change law of the effective mass m* of the weak-coupling polarons with the aspect ratio e′ of the quantum rod, the electron-phonon coupling strength α and the temperature parameter γ are derived. Numerical results indicate that the horizontal effective mass m*‖ and the vertical effective mass mz of the weak-coupling polaron in quantum rod will increase with the increase of the electron-phonon coupling strength α, and decrease with the increase of temperature T. The horizontal effective mass m*‖ of the polaron will increase with the increase of the aspect ratio e′ of the quantum rod. On the contrary, the vertical effective mass mz of the polaron will decrease with the increase of the aspect ratio e′.